Question

YG PINTAR? Bagi poin loh! (jawab yg bener & pake jalan) :)

Diketahui =
G(u) = upangkat2 + au + b
G(-2) = 6(1) = 5
Ditanya=
1. Nilai A dan B
2. Bentuk fungsinya
3. Nilai G(3)

Answer 1

Verified answer

G(u) = u² + au + b

1) nilai a dan b
g(-2) = 5
(-2)² + a(-2) + b = 5
4 - 2a + b = 5
-2a + b = 5 - 4
-2a + b = 1

g(1) = 5
(1)² + a(1) + b = 5
1 + a + b = 5
a + b = 5 - 1
a + b = 4
a = 4 - b

Substitusi
-2a + b = 1
-2(4 - b) + b = 1
-8 + 2b + b = 1
3b = 1 + 8
3b = 9
b = 3

a = 4 - b
a = 4 -3
a = 1

2) bentuk fungsi
g(u) = u² + (1)u + 3
g(u) = u² + u + 3

3) nilai g(3)
g(3) = (3)² + 3 + 3
g(3) = 9 + 3 + 3
g(3) = 15